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The decomposition of azo methane, at cer...

The decomposition of azo methane, at certain temperature acccording to the equation `(CH_(3))_(2)N_(2)toC_(2)H_(6)+N_(2)` is a first order reaction.
After 40 minutes from the start, the total pressure developed is found to be 350 mm Hg in place of initial pressure 200 mm Hg of azo methane. The value of rate constant k is :

A

`2.88 xx 10^(-4) sec^(-1)`

B

`1.25 xx 10^(-4) sec^(-1)`

C

`5.77 xx 10^(-4) sec^(-1)`

D

`4.606 xx 10^(-4)sec^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`{:(k=(2.303)/(t) "log" ((P_(i))/(P_(t)))"," , (CH_(3))_(2) N_(2) ,to, C_(2)H_(6) +N_(2)),(" "t=0," "200,,),(,t=200-x,,x" "x):}`
given that `200 +x =350 " " x=150`
`:.k=(2.303)/(t) log((200)/(200-150)) rArr k=5.77 xx 10^(-4) sec^(-1)`
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